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2042251511331 = 317192107586699
BaseRepresentation
bin11101101101111111101…
…011010000011000100011
321020020102000112000101010
4131231333223100120203
5231430012341330311
64202110345312003
7300355616265603
oct35557753203043
97206360460333
102042251511331
11718128811699
1228b975a95603
1311a777c12555
1470bba0a6c03
15381cc4a8da6
hex1db7fad0623

2042251511331 has 16 divisors (see below), whose sum is σ = 3034924848000. Its totient is φ = 1213969938048.

The previous prime is 2042251511329. The next prime is 2042251511351. The reversal of 2042251511331 is 1331151522402.

It is a happy number.

It is not a de Polignac number, because 2042251511331 - 21 = 2042251511329 is a prime.

It is a super-2 number, since 2×20422515113312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2042251511351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053792381 + ... + 1053794318.

It is an arithmetic number, because the mean of its divisors is an integer number (189682803000).

Almost surely, 22042251511331 is an apocalyptic number.

2042251511331 is a deficient number, since it is larger than the sum of its proper divisors (992673336669).

2042251511331 is a wasteful number, since it uses less digits than its factorization.

2042251511331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107586738.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 2042251511331 in words is "two trillion, forty-two billion, two hundred fifty-one million, five hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 17 19 51 57 323 969 2107586699 6322760097 35828973883 40044147281 107486921649 120132441843 680750503777 2042251511331